On the Symmetrical System of Rational Difference Equation x_n+1=A+y_n-k/y_n, y_n+1=A+x_n-k/x_n

Decun Zhang, Wenqiang Ji, Liying Wang, Xiaobao Li

Institute of Systems Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, China.

DOI: 10.4236/am.2013.45114                

Abstract

In this paper, we study the behavior of the symmetrical system of rational difference equation:

where A > o and x_i, y_i ∈(0, ∞), for i= -k,-k+1,…,0.

Keywords

Symmetrical System; Difference Equation; Boundedness; Period-Two Solution

Conflicts of Interest

The authors declare no conflicts of interest.

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